Question

The resistance of a conductor is 10 ohm at 50 degree celsius and 15 ohm at 100 degree celsius. Calculate its resistance at 0 degree celsius. ​

Answer 1

By assuming a linear relationship between temperature and resistance, the resistance of the conductor at 0 degrees Celsius is calculated to be 5 ohms.

Step-by-step explanation:

The resistance of a conductor is 10 ohm at 50 degrees Celsius and 15 ohm at 100 degrees Celsius. To calculate its resistance at 0 degrees Celsius, we can use the temperature coefficient of resistivity. However, since the temperature coefficient is not provided in the question, we'll assume it's linear between the two given data points and try to extrapolate the resistance at 0 degrees Celsius.

First, we calculate the change in resistance per degree Celsius:

R at 100°C - R at 50°C = 15 ohm - 10 ohm = 5 ohm

Temperature difference = 100°C - 50°C = 50 degrees

Resistance change per degree Celsius = 5 ohm / 50°C = 0.1 ohm/°C

Now, we apply this change over the 50 degrees from 0°C to 50°C:

Resistance decrease from 50°C to 0°C = 50°C * 0.1 ohm/°C = 5 ohm.

Thus, resistance at 0°C = R at 50°C - Resistance decrease = 10 ohm - 5 ohm = 5 ohms.